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112104328 = 23753107353
BaseRepresentation
bin1101010111010…
…01001110001000
321210221111020011
412223221032020
5212144314303
615042441304
72530604530
oct653511610
9253844204
10112104328
1158309706
1231663234
131a2c112b
1410c624c0
159c9616d
hex6ae9388

112104328 has 64 divisors (see below), whose sum is σ = 247743360. Its totient is φ = 46565376.

The previous prime is 112104271. The next prime is 112104329. The reversal of 112104328 is 823401211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112104299 and 112104308.

It is not an unprimeable number, because it can be changed into a prime (112104329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317400 + ... + 317752.

It is an arithmetic number, because the mean of its divisors is an integer number (3870990).

Almost surely, 2112104328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112104328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123871680).

112104328 is an abundant number, since it is smaller than the sum of its proper divisors (135639032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112104328 is a wasteful number, since it uses less digits than its factorization.

112104328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 112104328 is about 10587.9331316362. The cubic root of 112104328 is about 482.1780762212.

Adding to 112104328 its reverse (823401211), we get a palindrome (935505539).

The spelling of 112104328 in words is "one hundred twelve million, one hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 107 212 214 353 371 424 428 706 742 749 856 1412 1484 1498 2471 2824 2968 2996 4942 5671 5992 9884 11342 18709 19768 22684 37418 37771 39697 45368 74836 75542 79394 130963 149672 151084 158788 261926 264397 302168 317576 523852 528794 1047704 1057588 2001863 2115176 4003726 8007452 14013041 16014904 28026082 56052164 112104328